Finding the Third Proportional to 382,977 and 606,145.50

Step by Step Solution

1. Step 1: Write the proportion equation
   382,977 : 606,145.50 = 606,145.50 : x
2. Step 2: Convert to fraction form
   382,977/606,145.50 = 606,145.50/x
3. Step 3: Cross multiply
   382,977x = 606,145.50 × 606,145.50
4. Step 4: Simplify right side
   382,977x = 367,412,367,170.25
5. Step 5: Solve for x
   x = 367,412,367,170.25/382,977
6. Step 6: Final answer
   x = 959,358.83